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Statistical Mechanics of Interfaces

Research Project

Project/Area Number 01540301
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 物性一般(含極低温・固体物性に対する理論)
Research InstitutionKyushu University

Principal Investigator

KAWASAKI Kyozi  Kyushu Univ., Faculty of Sci., Professor, 理学部, 教授 (40037164)

Co-Investigator(Kenkyū-buntansha) KAWAKATSU Toshihiro  Kyushu Univ., Fac. Sci., Assistant, 理学部, 助手 (20214596)
SEKIMOTO Ken  Kyushu Univ., Fac. Sci., Assistant, 理学部, 助手 (00179342)
NAGAI Tatsuzo  Kyushu Kyoritsu Univ., Fac. Engineering, Professor, 工学部, 教授 (60069325)
Project Period (FY) 1989 – 1991
Project Status Completed (Fiscal Year 1991)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1991: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1990: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1989: ¥800,000 (Direct Cost: ¥800,000)
KeywordsPattern Formation / Complex Fluids / Phase Transition / Interfaces / Topological Defects / Phase Separation / Computer Experiments / Statistical Mechanical Theory / 粒界成長 / 石鹸泡 / バ-テックス模型 / 弾性と塑性 / ブロック共重合体 / レオロジ- / 界面活性剤 / ハイブリッド模型 / セル構造 / スケ-ル則 / ゲル / 体積相転移 / ミクロエマルジョン
Research Abstract

The main purpose of the traditional statistical physics has been, in general, to explain macroscopic phenomena in terms of features of microscopic elements of the material, like atoms and molecules. However, in these processes, one often faces a difficulty particularly in the problems where long-range interactions play an essential role, e. g. phase transition phenomena. In such problems, it is often useful to adopt coarse-grained descriptions. A typical example is the critical phenomena.
In this study, we start from a macroscopic continuum model, called Ginzburg-Landau model, which can be derived. by coarse-graining microscopic models. Such a continuum description is sometimes inadequate and should be supplemented by taking account of localized singularities, like interfaces. We studied the following problems, in each of which interafces play a crucial role ;
1) Statistical Mechanics of Cellular Pattern Formation
2) Phase Coexistence of Gels
3) Pattern Formation in Sytems Containing Surfactants
These problems are important not only in the field of fundamental physics but also in the field of applied sciences. Some of our researches has exploratory aspects, which should be refined in the future studies.

Report

(4 results)
  • 1991 Annual Research Report   Final Research Report Summary
  • 1990 Annual Research Report
  • 1989 Annual Research Report
  • Research Products

    (38 results)

All Other

All Publications (38 results)

  • [Publications] K.Kawasaki: "Vertex Models for Two-Dimensional Grain Growth" Phil.Mag.60. 399-421 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K.Nakashima: "Scaling Behavior of Two-Dimensional Domain Growth:Computer Simulation of Vertex Models." J.Stat.Phys.57. 759-787 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T.Nagai: "Computer Simulation of Cellular Pattern Growth in Two and Three Dimensions" Phase Transitions. 28. 177-211 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K.Sekimoto: "Elastic Instabilities and Phase Coexistence of Gels" Physica. 154A. 384-420 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T.Kawakatsu: "Hybrid Models for the Dynamics of an Jmmiscible Binary Mixture with Surfactant Molecules" Physica. A167. 690-735 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T.Kawakatsu: "Dynamics of Ordering Processes in Immiscible Binary Mixtures with a Surfactant.I.Computer Experiments." J.Colloid Interface Sci.145. 413-419 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Y.Enomoto: "Two-Dimensional Vertex Model with Local Friction Coeficient" Int.J.Mod.Phys.B3. 163-169 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] N.Suematsu: "3-Dimensional Computer Modeling for Pattern Formation on the Surface of an Expanding Polymer Gel" Phys.Rev.A41. 5751-5754 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K.Kawasaki: "Continuum Theory of an Immiscible Binary Fluid Mixture with a Surfactant" Physica. A164. 549-563 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K.Kawasaki: "Equilibrium Morphology of Block Copolymer Melts 3." Macromolecules. 23. 4006-4019 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T.Kawakatsu: "Dynamics of Ordering Processes in Immiscible Binary Mixtures with a Surfactant.II.Analytical Treatments." J.Colloid Interface Sci.145. 420-432 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K. Kawasaki: "Vertex Model for Two-Dimensional Grain Growth" Phil. Mag.60. 399-421 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K. Nakashima: "Scaling Behavior of Two-Dimensional Domain Growth : Computer simulation of Vertex Model" J. Stat. Phys.57. 759-787 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T. Nagai: "Computer Simulation of Cellular Pattern Growth in Two and Three Dimensions" Phase Transitions. 28. 177-211 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K. Sekimoto: "Elastic Instabilities and Phase Coexistence of Gels" Physica. 154A. 384-420 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T. Kawakatsu: "Hybrid Models for the Dynamics of an Immiscible Binary Mixture with Surfactant Molecules" Physica. A167. 690-735 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T. Kawakatsu: "Dynamics of Ordering Processes in Immiscible Binary Mixtures with a Surfactant. I. Computer Experiments" J. Colloid Interface Sci.145. 413-419 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Y. Enomoto: "Two-Dimensional Vertex Model with Local Friction Coefficient" Int. J. Mod. Phys.B3. 163-169 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] N. Suematsu: "3-Dimensional Computer Modeling for Pattern Formation on the Surface of an Expanding Polymer Gel" Phys. Rev.A41. 5751-5754 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K. Kawasaki: "Continuum Theory of an Immiscible Binary Fluid Mixture with a Surfactant" Physica. A164. 549-563 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K. Kawasaki: "Equilibrium Morphology of Block Copolymer Melts. 3." Macromolecules. 23. 4006-4019 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T. Kawakatsu: "Dynamics of Ordering Processes in Immiscible Binary Mixtures with a Surfactant. II. Analytical Treatments" Colloid Interface Sci.145. 420-432 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T.Kawakatsu: "Dynamics of Ordering Processes in Immiscible Binary Mixtures with a Surfactant.I.Computer Experiments." J.Colloid Interface Sci.145. 413-419 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] T.Kawakatsu: "Dynamics of Ordering Processes in Immiscible Binary Mixtures with a Surfactant.II.Analytical Treatment." J.Colloid Interface Sci.145. 420-432 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] P.Brozzo(ed.),T.Nagai: "Computer simulation of Cellular Pattern Growth" Proceedings of the International Conference on Grain Growth in Polxcrystalline Materials.

    • Related Report
      1991 Annual Research Report
  • [Publications] K.Kawasaki et al.(ed.),S.Ohta: "Dynamics of Random Cellular Structures in Three Dimensions" Slow Dynamics in Condensed Matter(AIP publishers).

    • Related Report
      1991 Annual Research Report
  • [Publications] K.Kawasaki et al.(ed.),T.Okuzono: "Rheological Properties of Foams:Computer Simulation of Vertex Model for TwoーDimensional Rondom Cellular Structures." Slow Dynamics in Condensed Matter(AIP publishers).

    • Related Report
      1991 Annual Research Report
  • [Publications] G.Gyorgi et al.(ed.),T.Kawakatsu: "Phase Transitions in Binary Systems in the Presence of Amphiphilic Molecules" From Phase Transitions to Chaos(World Soientific).

    • Related Report
      1991 Annual Research Report
  • [Publications] TATSUZO NAGAI: "Computer Simulation of Cellular Pattern Growth in Two and Three Dimensions" Phase Transitions. 28. 177-211 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Kyozi KAWASAKI: "Dynamics and rheology of diblock copolymers quenched into microphaseーseparated states" PHYSICAL REVIEW A. 42. 3664-3666 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Kyozi KAWASAKI: "Continuum Theory of an Immiscible Binary Fluids Mixture with a Surfactant" Physica A. 164. 549-563 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Toshihiro KAWAKATSU: "Hybrid Models for the Dynamics of an Immiscible Binary Mixture with Surfactant Molecules" Physica A. 167. 690-735 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Katsuya Nakashima,Tatuszo Nagai and Kyozi Kawasaki: "Scaling Behavior of Two-Dimensional Domain Growth:Computer Simulation of Vertex Models" Journal of Statistical Physics. 57. 759-787 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Kyozi Kawasaki,Tatsuzo Nagai and Katsuya Nakashima: "Vertex models for two-dimensional grain growth" Philosophical Magazine B. 60. 399-421 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] K.Sekimoto,N.Suematsu and K.Kawasaki: "Dynamics in Complex Physical Systems' H.Takayama,ed." 72 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] K.Sekimoto,N.Suematsu and K.Kawasaki: "Sponge-like domain structure in a two-dimensional model gel undergoing volume-phase transition" Physical Review A. 39. 4912-4914 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] T.Kawakatsu and K.Kawasaki: "Pattern Formation Processes in Binary Mixtures with Surfactants" Proceedings of the Yanada Conference on Strongly Coupled Plasma Physics,29th August-2nd September ed.S.Ichimaru(Elsevuer Science Publishers). (1990)

    • Related Report
      1989 Annual Research Report
  • [Publications] K.Kawasaki and T.Kawakatsu: "Continuum Theory of Immiscible Binary Fluid Mixture with Surfactant" Physica A. (1990)

    • Related Report
      1989 Annual Research Report

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Published: 1989-04-01   Modified: 2016-04-21  

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